A note on percolation in cocycle measures

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dc.creatorMeester, Ronald
dc.date2006-08-09
dc.date.accessioned2026-07-07T07:21:34Z
dc.date.available2026-07-07T07:21:34Z
dc.descriptionWe describe infinite clusters which arise in nearest-neighbour percolation for so-called cocycle measures on the square lattice. These measures arise naturally in the study of random transformations. We show that infinite clusters have a very specific form and direction. In concrete situations, this leads to a quick decision whether or not a certain cocycle measure percolates. We illustrate this with two examples which are interesting in their own right.
dc.descriptionPublished at http://dx.doi.org/10.1214/074921706000000059 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0608217
dc.identifierhttp://arxiv.org/abs/math/0608217
dc.identifierIMS Lecture Notes--Monograph Series 2006, Vol. 48, 37-46
dc.identifierdoi:10.1214/074921706000000059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115342
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35 (Primary) 82B20 (Secondary)
dc.titleA note on percolation in cocycle measures
dc.typetext

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